Up until the 25th second of this video, player's left hand goes over a great distance on the keyboard. The right hand's keys are placed much closer to each other, and I don't have a problem playing this tune, so I'm only questioning the left hand's notes positioning.

Is that piece's left hand supposed to go over so many notes, or is there some trick to playing that part?

The composition in question is from Evangelion movie soundtrack, "Tranquility" by Shiro Sagisu.